Speaking to Les Carpenter of the Washington Post, Rivera said the organization has come up with some ideas but didn't promise a change would happen before the start of this season.
"If we get it done in time for the season, it would be awesome," he said. "We came up with a couple of names—two of them I really like."
There has been increased pressure on Snyder to change the team's nickname recently. FedEx, which has sponsored Washington's home stadium since 1999, requested the nickname be changed.
Per Mary Emily O'Hara of AdWeek, a group of investors asked Nike, FedEx and PepsiCo to end their business relationship with Washington unless the team agreed to change its nickname.
Nike has removed all Washington team merchandise from its online store.
The organization has used its current nickname since 1933 when it was located in Boston. It retained the name following its relocation to Washington D.C. prior to the 1937 season.